Systematic approach to exclusive B ->V l^+l^-, V gamma decays

By Martin Beneke, T. Feldmann, D. Seidel. 2001

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We show -- by explicit computation of first-order corrections -- that the QCD factorization approach previously applied to hadronic two-body decays and to form factor ratios also allows us to compute non-factorizable corrections to exclusive, radiative B meson decays in the heavy quark mass limit. This removes a major part of the theoretical uncertainty in the region of small invariant mass of the photon. We discuss in particular the decays B\to K^* \gamma and B\to K^* l^+l^- and complete the calculation of corrections to the forward-backward asymmetry zero. The new correction shifts the asymmetry zero by 30%, but the result confirms our previous conclusion that the asymmetry zero provides a clean phenomenological determination of the Wilson coefficient C_9.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fc0e2a0c07ef4d1e0d03fe514f057fe2565f4c54

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In Nuclear and High Energy Physics

Citations in the corpus

Implications of LHCb measurements and future prospects - eScholarship (2013, background): “In addition, the longitudinal amplitude in the QCDF/SCET approach generates a logarithmic divergence in the limit q(2) → 0, indicating problems in the description below 1 GeV(2) [49].”
On the impact of power corrections in the prediction of B → K*μ+μ− observables (2014, methodology): “The method can be extended beyond naive factorisation by adding perturbative O(αs) corrections to the contribution from four-quark operators within the framework of QCD factorisation [30], as in ref.”
On B → Vℓℓ at small dilepton invariant mass, power corrections, and new physics (2012, methodology): “For the q(2) dependence we choose the pole forms introduced in [23] based on pure heavy-quark-limit arguments,”
On the anomalies in the latest LHCb data (2016, methodology): “On the contrary, no theoretical description of power corrections exists in the exclusive case in the framework of QCD factorisation and SCET, and power corrections can only be guesstimated.”
Introduction to Soft-Collinear Effective Theory (2014, background): “ion formula of charmless exclusive decays to two-loop accuracy and many of the necessary pieces are by now available [162–168]. Similar factorization theorems also hold for exclusive radiative decays [169,170]. A detailed operator analysis of the relevant factorization theorem in SCET was given in [”
Differential branching fraction and angular analysis of the decay B0 → K∗0μ+μ− (2013, methodology): “[26].2 In the low q2 region, the calculations are based on QCD factorisation and soft collinear effective theory (SCET) [28], which profit from having a heavy B0 meson and an energetic K∗0 meson.”
Hint of lepton flavour non-universality in B meson decays (2014, methodology): “Moreover, we have used the data only in the low-q2 bin 1− 6 GeV2 (for RK this is the only data available) as the theoretical predictions are more reliable in this phase space region [24, 25].”